Speaker：Zenghu Li（Beijing Normal University）

Time：2022-09-29, 16:00

Location：Tencent Meeting ID：867481813（No Password）

Abstract:

A continuous-state branching process in varying environments is constructed by the pathwise unique solution to a stochastic integral equation driven by time-space noises. In terms of the stochastic equation we clarify the behavior of the process at its “bottlenecks”, which are the times when it arrives at zero almost surely by negative jumps. We show the process arises naturally in a scaling limit theorem of Galton-Watson processes in varying environments. This is based on joint papers with Rongjuan Fang and Jiawei Liu.